An International Journal of Optimization and Control: Theories & Applications (Jan 2024)

Controllability of nonlinear fractional integrodifferential systems involving multiple delays in control

  • Abdul Haq,
  • Nagarajan Sukavanam

DOI
https://doi.org/10.11121/ijocta.1428
Journal volume & issue
Vol. 14, no. 1

Abstract

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This work studies the existence of solutions and approximate controllability of fractional integrodifferential systems with Riemann-Liouville derivatives and with multiple delays in control. We establish suitable assumptions to prove the existence of solutions. Controllability of the system is shown by assuming a range condition on control operators and Lipschitz condition on non-linear functions. We use the concepts of strongly continuous semigroup rather than resolvent operators. Finally, an example is give to illustrate the theory.

Keywords